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Mathematics
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Efficient Numerical Solutions to a SIR Epidemic Model

Authors: Mohammad Mehdizadeh Khalsaraei; Ali Shokri; Higinio Ramos; Shao-Wen Yao; Maryam Molayi;

Efficient Numerical Solutions to a SIR Epidemic Model

Abstract

Two non-standard predictor-corrector type finite difference methods for a SIR epidemic model are proposed. The methods have useful and significant features, such as positivity, basic stability, boundedness and preservation of the conservation laws. The proposed schemes are compared with classical fourth order Runge–Kutta and non-standard difference methods (NSFD). The stability analysis is studied and numerical simulations are provided.

Country
Spain
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Keywords

positivity, Positivity, epidemic models; numerical methods; elementary stability; positivity, Epidemic models, Elementary stability, elementary stability, numerical methods, QA1-939, 12 Matem?ticas, epidemic models, Numerical methods, Mathematics

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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Top 10%
Average
Top 10%
gold